10429172960480 has 48 divisors (see below), whose sum is σ = 24671298438864. Its totient is φ = 4166187310080.

The previous prime is 10429172960471. The next prime is 10429172960489. The reversal of 10429172960480 is 8406927192401.

It is an interprime number because it is at equal distance from previous prime (10429172960471) and next prime (10429172960489).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10429172960489) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 42705002 + ... + 42948521.

It is an arithmetic number, because the mean of its divisors is an integer number (513985384143).

Almost surely, 2^{10429172960480} is an apocalyptic number.

10429172960480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10429172960480 is an abundant number, since it is smaller than the sum of its proper divisors (14242125478384).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10429172960480 is an equidigital number, since it uses as much as digits as its factorization.

10429172960480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85654299 (or 85654291 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 53.

The spelling of 10429172960480 in words is "ten trillion, four hundred twenty-nine billion, one hundred seventy-two million, nine hundred sixty thousand, four hundred eighty".